Question

The table below gives the value of a car over two years. Using an exponential best-fit model, after how many years is the car valued at 25% of the original value?

Year 0 0.5 1.0 1.5 2.0
Value ($) 15,500.00 14,560.00 13,911.20 12,969.66 12,204.09

Answer 1

I'd do it by taking the log of the values, and using a normal linear best-fit on the log values. Where log(15500/v) = log4, that's the number of years you want.

Answer 2

9,740

Answer 3

correct clara